3.50

Passedix is a game of chance played with three fair dice. Players bet whether the sum of the faces shown on the dice will be above or below ten. During the late sixteenth century, the astronomer and mathematician Galileo Galilei was asked by the Grand Duke of Tuscany to explain why “the chance of throwing a 9 with three fair dice was less than that of throwing a 10.” (Interstat, Jan. 2004) The grand duke believed that the chance should be the same because “there are an equal number of partitions of the numbers 9 and 10.” Find the flaw in the Grand Duke’s reasoning and answer the question posed to Galileo. Hint: What the Grand Duke was saying is: There are six ways to get a 9: 1+2+6; 1+3+5; 1+4+4; 2+2+5; 2+3+4; 3+3+3. There are also six ways to get a 10: 1+3+6; 1+4+5; 2+2+6; 2+3+5; 2+4+4; 3+3+4. [10 pts] 3.56 Two fair dice are tossed, and the following events are defined: A: {Sum of the numbers showing is odd} B: {Sum of the numbers showing is 9, 11, or 12} Are events A and B independent? Why? [10 pts]

Write the journal entries in the given table for below transactions of Brave Corporation during June 2020.

please show all working out and without using ecxel

Quasar Tech Ltd. is investing $6 million in new machinery that will produce the next-generation routers. Sales to its customers will amount to $1 750 000 for the next 3 years and then increase to $2.4 million for 3 more years. The project is expected to last 6 years and cost the company annually $898 620 (excluding depreciation). The machinery will be depreciated to zero by year 6 using the straight-line method. The company’s tax rate is 30 per cent, and its cost of capital is 16 per cent.

a. What is the payback period?

b. What is the average accounting return (ARR)?

c. Calculate the project NPV.

d. What is the IRR for the project?

Payroll Accounts and Year-End Entries

The following accounts, with the balances indicated, appear in the ledger of Garcon Co. on December 1 of the current year:

The company's total shareholders' equity as of 12/31/2020 is $1,777,000 Common stock; par value of $2; Auth 500,000 and issued/outstanding 100,000 @ an average issue price of $4.75. Accumulted other comprehensive income is $180,000. The balance in shareholders' equity is retained earnings.

During 2021: Sales revenue $880,000, interest revenue $30,000 ; rent revenue $160,000; Dividend Revenue $80,000; sales Returns & Allowances $25,000; Sales discounts $70,000; COGS $350,000; Selling exp $100,000; General Administrative expenses $80,000; Interest expense $70,000; Loss on sale of Investments $60,000; Restructuring Costs $75,000; Gain on sale of compenant that qualifies as a discontinued ops $150,000; Write down of inventory $50,000; foreign currency translation gain $20,000; unrealized gain in value of land $50,000; .Unrealized gain in the value of patents $50,000; unrealized loss in value of available for sale securities $60,000 ;

Additional information: Tax rate is 20% The company issues 50,000 shares on 10/1/21 for $250,000. The company issues 20,000 shares on 7/1/21 for equipment that has a fair value of $100,000 The company declared dividends of $100,000 of which $25,000 will be paid on 1/31/22.

2.) Prepare a statement of shareholders' equity.

You own a business similar to Starbucks and are in the process of analyzing two of your customers, Natasha and Boris, and how each of them impacts your business. In particular, Natasha buys 14 lattes each week and also buys 7 breakfasts per week at your business. The price of each latte is $4 and she spends $8 on each breakfast. She will likely continue to do this for the next 27 years. Boris buys 14 lattes each week and also buys 7 breakfasts per week at your business. He also spends $8 on each breakfast. He will likely continue to do this for the next 9 years.

27. The reserve ratio is the

Multiple Choice

• percentage of total deposits that are held as bank reserves.

• number of deposit dollars the banking system can create.

• fraction of deposits that banks hold as excess reserves.

• percentage of excess reserves held by banks.

28. The discount rate is the interest rate charged by

Multiple Choice

• the Federal Reserve when it lends money to private banks.

• a private bank when it lends money to commercial customers.

• a regional Fed bank when it lends money to another regional Fed bank.

• a private bank when it lends money to another private bank.

29. If the Fed is concerned about inflation, it should

Multiple Choice

• buy bonds or reduce the discount rate.

• buy bonds or raise the discount rate.

• sell bonds or reduce the discount rate.

• sell bonds or raise the discount rate.